Answer:
[tex]B =120[/tex]
Step-by-step explanation:
Given
Represent Kitchen with K and Bedroom with B.
So:
[tex]K = 50ft^2[/tex]
[tex]K = 10 + \frac{1}{3}B[/tex] --- 10 more than 1/3 of Bedroom area
Required
Determine the bedroom area
The expression of K and B has been determined above.
The next step is to substitute 50 for K in the second equaion
[tex]K = 10 + \frac{1}{3}B[/tex]
[tex]50 = 10 + \frac{1}{3}B[/tex]
Multiply through buy 3
[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]
[tex]150 = 30 +B[/tex]
Make B the subject
[tex]B =150 - 30[/tex]
[tex]B =120[/tex]
Hence, the area of the bedroom is 120ft^2
